Finding the Third Proportional to 19,830 and 30,691

Step by Step Solution

1. Step 1: Write the proportion equation
   19,830 : 30,691 = 30,691 : x
2. Step 2: Convert to fraction form
   19,830/30,691 = 30,691/x
3. Step 3: Cross multiply
   19,830x = 30,691 × 30,691
4. Step 4: Simplify right side
   19,830x = 941,937,481
5. Step 5: Solve for x
   x = 941,937,481/19,830
6. Step 6: Final answer
   x = 47,500.63